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Finding the Fourth Proportional to 1,669.44, 2,322.24 and 1,637.76

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Solution

The fourth proportional to 1,669.44, 2,322.24 and 1,637.76 is: 2,278.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.44 : 2,322.24 = 1,637.76 : x
  2. Step 2: Convert to fraction form
    1,669.44/2,322.24 = 1,637.76/x
  3. Step 3: Cross multiply
    1,669.44x = 2,322.24 × 1,637.76
  4. Step 4: Simplify right side
    1,669.44x = 3,803,271.78
  5. Step 5: Solve for x
    x = 3,803,271.78/1,669.44
  6. Step 6: Final answer
    x = 2,278.17

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.